Zeta functions of trinomial curves and maximal curves
Copyright policy )Zeta functions of trinomial curves and maximal curves
We determine the zeta functions of trinomial curves in terms of Gauss sums and Jacobi sums, and we obtain an explicit formula of the genus of a trinomial curve over a finite field, then we study the conditions for a trinomial curve to be a maximal curve over a finite field.
37 pages
- Northwest University China (People's Republic of)
- NORTHWEST UNIVERSITY China (People's Republic of)
- Northwestern University United States
- Northwest University China (People's Republic of)
- NORTHWEST UNIVERSITY China (People's Republic of)
Special algebraic curves and curves of low genus, trinomial curves, Mathematics - Number Theory, genus, zeta function, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Curves over finite and local fields, Mathematics - Algebraic Geometry, FOS: Mathematics, Number Theory (math.NT), Algebraic Geometry (math.AG), maximal curve, 14H45, 11G20
Special algebraic curves and curves of low genus, trinomial curves, Mathematics - Number Theory, genus, zeta function, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Curves over finite and local fields, Mathematics - Algebraic Geometry, FOS: Mathematics, Number Theory (math.NT), Algebraic Geometry (math.AG), maximal curve, 14H45, 11G20
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